# Into Math Grade 5 Module 13 Lesson 1 Answer Key Understand Thousandths

We included HMH Into Math Grade 5 Answer Key PDF Module 13 Lesson 1 Understand Thousandths to make students experts in learning maths.

## HMH Into Math Grade 5 Module 13 Lesson 1 Answer Key Understand Thousandths

I Can describe the relationship between two decimal place-value positions to the thousandth place.

Kiana is looking at seawater under a microscope to search for microscopic organisms. A droplet of seawater has a mass of about 51.3 milligrams.

What would be the mass of 10 droplets of seawater? Show your reasoning.

Given that,
The mass of the droplet of seawater is 51.3 milligrams.
The mass of 10 droplets of seawater is 51.3 x 10 is 513 milligrams.

Turn and Talk Kiana puts 10 droplets of freshwater in a test tube. The droplets have a mass of about 499.0 milligrams. What would you expect the mass of one droplet of freshwater to be? How do you know?
Given that,
The mass of the 10 droplets of freshwater is 499.0 milligrams.
The mass of one droplet of freshwater is 499.0/10 = 49.9.
Therefore the mass of one droplet is 49.9 milligrams.

Build Understanding

Question 1.
DeShawn measures the length of a phytoplankton under a microscope as 0.1 mm. Use the place-value chart to answer the questions.

A. Which part of the chart represents the length of the phytoplankton? How do you know?

B. Which part of the chart represents the length of an organism that measures 10 times as much as the length of the phytoplankton? How do you know?

C. Which part of the chart represents the length of an organism that measures ~ of the length of the phytoplankton? How do you know?

D. How could you represent thousandths in the chart?

Connect to Vocabulary
A thousandth is one of one thousand equal parts.
Example:
0.008 = eight thousandths

Question 2.
The length of a sea creature, the anemone, measures 0.04 inch early in its development. It is about 10 times as thick as a sheet of paper and $$\frac{1}{10}$$ of the width of a vitamin.

A. Use the place-value chart to represent each measure.

B. What patterns in the chart can you describe?

C. What are the measures of the three items?

The pattern in the chart shows that the anemone is 0.04 inch, the thickness of paper is 0.4 inches and the width of a vitamin is 0.004 inch.
So, the measure of the three items is 0.04, 0.4, 0.004 inch.

Turn and Talk How do the place-value positions with decimals compare to the place-value positions with whole numbers?

Check Understanding

Question 1.
Ten pennies weigh about 0.9 ounce. About how much does one penny weigh?
Given that,
10 pennies weigh = 0.9 ounce.
1 penny weigh = 0.9/10 = 0.009.
Therefore 1 penny weigh = 0.009 ounce.

Question 2.
One dime weighs about 0.005 pound. About how much do 10 dimes weigh?
Given that,
1 dime weighs = 0.005 pound.
10 dimes weigh = 0.005 x 10 = 0.05 pound.
Therefore 10 dimes weigh is 0.05 pounds.

Question 3.
Use Tools Complete the table to write numbers that are 10 times as much as, and $$\frac{1}{10}$$ of, 0.5.

Given that,
The number is 0.5
10 times of 0.5 is 0.05

Write the number that is 10 times as much as the number.

Question 4.
0.002
Given that the number is 0.002.
10 times of 0.002 is 0.002 x 1/10 is 0.0002.
Therefore 10 times the 0.002 is 0.0002.

Question 5.
8.739
Given that the number is 8.739.
10 times of 8.739 is 8.739 x 1/10 is 0.8739.
Therefore 10 times the 8.739 is 0.8739.

Question 6.
35.4
Given that the number is 35.4.
10 times of 35.4 is 35.4 x 1/10 is 3.54.
Therefore 10 times the 35.4 is 3.54.

Write the number that is $$\frac{1}{10}$$ of the number.

Question 7.
0.25
Given that,
The number is 0.25.
Therefore 0.25 x $$\frac {1}{10}$$ is 0.025.

Question 8.
5,019.72
Given that,
The number is 5,019.72
Therefore 5019.72 x $$\frac {1}{10}$$ is 501.972.

Question 9.
3.6
Given that,
The number is 3.6
Therefore 3.6 x $$\frac {1}{10}$$ is 0.36.

Question 10.
Reason Five-hundredths multiplied by what number is five thousandths? Explain.
500 x 10 = 5000.
500 multiplied by 10 is 5000.
Therefore five-hundredths multiplied by ten is five thousandths.

Question 11.
Use Structure In the number 9.689, how does the value of the digit 9 to the left of the decimal point compare to the value of the digit 9 to the right of the decimal point?